Exactly Solvable Extended Potentials in Arbitrary Dimensions

DOI10.5506/APHYSPOLB.45.15zbMATH Open1371.81098arXiv1402.1265MaRDI QIDQ5359963

Publication date: 27 September 2017

Published in: Acta Physica Polonica B (Search for Journal in Brave)

Abstract: We apply a simple transformation method to construct a set of new exactly solvable potentials (ESP) which gives rise to bound state solution of

D

-dimensional Schr"odinger equation. The important property of such exactly solvable quantum systems is that their normalized eigenfunctions can be written in terms of recently introduced exceptional orthogonal polynomials (EOP).

Full work available at URL: https://arxiv.org/abs/1402.1265

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

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